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New Distributional Global Solutions for the Hunter-Saxton Equation
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In the setting of a distributional product, we consider a Riemann problem for the Hunter-Saxton equation [ u t + ( ( 1 / 2 ) u 2 ) x ] x = ( 1 / 2 ) u x 2 in a convenient space of discontinuous functions.
With the help of a consistent extension of the classical solution concept, two classes of discontinuous solutions are obtained: one class of conservative solutions and another of dispersive solutions.
A necessary and sufficient condition for the propagation of a distributional profile as a travelling wave is also presented, which allows identifying an interesting set of explicit distributional travelling waves.
In the paper, we will show some results we have obtained by applying this framework to other equations and systems.
American Psychological Association (APA)
Sarrico, C. O. R.. 2014. New Distributional Global Solutions for the Hunter-Saxton Equation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014829
Modern Language Association (MLA)
Sarrico, C. O. R.. New Distributional Global Solutions for the Hunter-Saxton Equation. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014829
American Medical Association (AMA)
Sarrico, C. O. R.. New Distributional Global Solutions for the Hunter-Saxton Equation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014829